Finding the Third Proportional to 140,256 and 299,808

Step by Step Solution

1. Step 1: Write the proportion equation
   140,256 : 299,808 = 299,808 : x
2. Step 2: Convert to fraction form
   140,256/299,808 = 299,808/x
3. Step 3: Cross multiply
   140,256x = 299,808 × 299,808
4. Step 4: Simplify right side
   140,256x = 89,884,836,864
5. Step 5: Solve for x
   x = 89,884,836,864/140,256
6. Step 6: Final answer
   x = 640,862.69